Chaotic Transport and Current Reversal in Deterministic Ratchets

Mateos, José L.

doi:10.1103/physrevlett.84.258

Cited by 317 publications

(324 citation statements)

References 24 publications

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“…[16], has also contributed significantly to the understanding of the subject. These deterministic ratchets, unaided by noise, are shown to yield current in overdamped [17,18], underdamped [14,16,19,20,21,22,23,24,25,27,28], as well as in Hamiltonian [29,30,31] periodic potential systems, and also in overdamped quenched disordered [32,34] systems. In these systems net current results, without the presence of applied nonzero average forcing or asymmetric fluctuations, due to the presence of various regular transporting or chaotic attractors depending on the initial conditions for given system parameter values.…”

Section: Introductionmentioning

confidence: 99%

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Deterministic inhomogeneous inertia ratchets

Saikia

Mahato

2010

Physica A: Statistical Mechanics and its Applications

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We study the deterministic dynamics of a periodically driven particle in the underdamped case in a spatially symmetric periodic potential. The system is subjected to a space-dependent friction coefficient, which is similarly periodic as the potential but with a phase difference. We observe that frictional inhomogeneity in a symmetric periodic potential mimics most of the qualitative features of deterministic dynamics in a homogeneous system with an asymmetric periodic potential. We point out the need of averaging over the initial phase of the external drive at small frictional inhomogeneity parameter values or analogously low potential asymmetry regimes in obtaining ratchet current. We also show that at low amplitudes of the drive, where ratchet current is not possible in the deterministic case, noise plays a significant role in realizing ratchet current.

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Section: Introductionmentioning

confidence: 99%

“…Mateos identified bifurcation from a chaotic to a periodic regime as the mechanism for the average-current reversals [20] in these systems. However, the change in direction of individual single particle trajectories could be related to phase locking phenomena [21] due to the presence of various velocity attractors [24].…”

Section: Introductionmentioning

confidence: 99%

Deterministic inhomogeneous inertia ratchets

Saikia

Mahato

2010

Physica A: Statistical Mechanics and its Applications

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“…The overdamped limit with harmonic mixing signals in one-dimensional, spatially periodic potentials has been studied classically and quantum mechanically before [25]. Our present class of systems also generalizes the physics at work in dissipative one-dimensional, deterministic inertial ratchet systems exhibiting chaotic dynamics [26][27][28][29]31,32].…”

Section: Introductionmentioning

confidence: 79%

“…It should be emphasized that this mechanism is precisely the same that is at work in one-dimensional chaotic ratchets, as it has been investigated by Mateos in Refs. [27,28]. Note that the inherent symmetry structure in the equations of motion in (1,2) imply that the direction of the current in x is independent of the sign of f y while the direction in y is the opposite; compare also with Fig.…”

Section: Control Of Directed Transport Generated By a Crossed Static mentioning

confidence: 99%

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Controlling directed transport in two-dimensional periodic structures under crossed electric fields

Sengupta

Guantes

Miret‐Artés

et al. 2004

Physica A: Statistical Mechanics and its Applications

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We investigate di erent mechanisms for the control of directed transport of particles on twodimensional periodic and symmetric substrates, based on the application of a crossed static and a bi-harmonic (harmonic mixing) ÿeld. We focus on inertial systems in the low friction regime, using a prototypical model for atom-surface di usion, and demonstrate that a proper control of current reversals can be achieved at moderate ÿeld strengths by tuning either the static ÿeld or changing the relative phase of the harmonic mixing signal, respectively.

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Casimir Forces and Geometry in Nanosystems

Emig

2010

Nonlinear Dynamics of Nanosystems

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Casimir interactions, predicted in 1948 [15, 14] between atoms and macroscopic surfaces, and probed in a series of high precision experiments over the past decade [46,50, 8], are particular important at micro-meter to nano-meter length scales due to their strong power-law increase at short separations between particles. Therefore, in constructing and operating devices at these length scales it is important to have an accurate understanding of material, shape and geometry dependence of these forces. In particular, the observation of Casimir forces in devices on sub-micron scales has generated great current interest in exploring the role of these forces for the development and optimization of micro-and nano-electromechanical systems [9,17,16]. These systems can serve as on-chip fully integrated sensors and actuators with a growing number of applications. It was pointed out that Casimir forces can make an important contribution to the principal cause of malfunctions of these devices in form of stiction that results in permanent adhesion of nearby surface elements [10]. This initiated interest in repulsive Casimir forces by modifying material properties as well as the geometry of the interacting components [11,43,52].The study of fluctuation induced forces has a long history. When these forces result from fluctuations of charges and currents inside particles or macroscopic objects, they are usually summarized under the general term van der Waals forces [55]. This interaction appears at the atomic scale in the guise of Keesom, Debye, London, and Casimir-Polder forces. An important property of all this interactions is their nonadditivity: The total interaction of macroscopic objects is in general not given by the sum of the interactions between all pairs of particles that form the objects. This inherent many-body character of the force leads to interesting and often unexpected behavior but renders the study of these forces also a difficult problem. Commonly used approximations as pairwise additivity assumptions become unreliable for systems of condensed atoms. The collective interaction of condensed macroscopic systems is better formulated in terms of their dielectric properties. Such a formulation was es-1) interaction between a plate and a cylinder. Phys. Rev. Lett., 96:080403, 2006. 37 R. Golestanian and M. Kardar. Mechanical response of vacuum. Phys. Rev. Lett., 78:3421, 1997. 38 R. Golestanian and M. Kardar. Pathintegral approach to the dynamic casimir effect with fluctuating boundaries. Phys.

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Chaotic Transport and Current Reversal in Deterministic Ratchets

Cited by 317 publications

References 24 publications

Deterministic inhomogeneous inertia ratchets

Deterministic inhomogeneous inertia ratchets

Controlling directed transport in two-dimensional periodic structures under crossed electric fields

Casimir Forces and Geometry in Nanosystems

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